The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A154747 Decimal expansion of sqrt(sqrt(2) - 1), the radius vector of the point of bisection of the arc of the unit lemniscate (x^2 + y^2)^2 = x^2 - y^2 in the first quadrant. 7
 6, 4, 3, 5, 9, 4, 2, 5, 2, 9, 0, 5, 5, 8, 2, 6, 2, 4, 7, 3, 5, 4, 4, 3, 4, 3, 7, 4, 1, 8, 2, 0, 9, 8, 0, 8, 9, 2, 4, 2, 0, 2, 7, 4, 2, 4, 4, 4, 0, 0, 7, 6, 5, 1, 1, 5, 6, 1, 5, 2, 0, 0, 9, 3, 5, 2, 0, 7, 4, 8, 5, 0, 3, 2, 1, 8, 3, 6, 5, 1, 9, 5, 4, 5, 1, 3, 4, 2, 4, 6, 5, 9, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS A root of r^4 + 2 r^2 - 1 = 0. Also real part of sqrt(1 + i)^3, where i is the imaginary unit such that i^2 = -1. - Alonso del Arte, Sep 09 2019 REFERENCES C. L. Siegel, Topics in Complex Function Theory, Volume I: Elliptic Functions and Uniformization Theory, Wiley-Interscience, 1969, page 5 LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 EXAMPLE 0.643594252905582624735443437418... MATHEMATICA nmax = 1000; First[ RealDigits[ Sqrt[Sqrt[2] - 1], 10, nmax] ] PROG (PARI) sqrt(sqrt(2) - 1) \\ Michel Marcus, Dec 10 2016 CROSSREFS Cf. A154739 for the abscissa and A154743 for the ordinate. Cf. A154748, A154749 and A154750 for the continued fraction and the numerators and denominators of the convergents. Cf. A085565 for 1.311028777..., the first-quadrant arc length of the unit lemniscate. Cf. A309948 and A309949 for real and imaginary parts of sqrt(1 + i). Sequence in context: A235509 A224927 A200104 * A217515 A079624 A035335 Adjacent sequences:  A154744 A154745 A154746 * A154748 A154749 A154750 KEYWORD nonn,cons,easy AUTHOR Stuart Clary, Jan 14 2009 EXTENSIONS Offset corrected by R. J. Mathar, Feb 05 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 27 05:48 EDT 2020. Contains 334649 sequences. (Running on oeis4.)